456261 has 8 divisors (see below), whose sum is σ = 655200. Its totient is φ = 280752.

The previous prime is 456241. The next prime is 456283. The reversal of 456261 is 162654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456261 - 2¹⁰ = 455237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5811 + ... + 5888.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2⁴⁵⁶²⁶¹ is an apocalyptic number.

It is an amenable number.

456261 is a deficient number, since it is larger than the sum of its proper divisors (198939).

456261 is a wasteful number, since it uses less digits than its factorization.

456261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715.

The product of its digits is 1440, while the sum is 24.

The square root of 456261 is about 675.4709468215. The cubic root of 456261 is about 76.9847048948.

It can be divided in two parts, 456 and 261, that added together give a palindrome (717).

The spelling of 456261 in words is "four hundred fifty-six thousand, two hundred sixty-one".